Gi bisects ∠DGH so that m∠DGI = x-3 and m∠IGH= 3x-13 Find the m ∠DGH

plz explain and thx

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Grade: Education Subject: mathematics
Gi bisects ∠DGH so that m∠DGI = x-3 and m∠IGH= 3x-13 Find the m ∠DGH

plz explain and thx
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check the picture below.


to bisect and angle, means to cut it into two identical twins, namely ∡DGI and ∡IGH are twins.


[tex]\bf x-3=3x-13\implies \stackrel{\textit{subtracting \underline{x}}}{-3=2x-13}\implies \stackrel{\textit{adding 13}}{10=2x}\implies \cfrac{10}{2}=x\implies \boxed{5=x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \measuredangle DGI=(5)-3\implies \measuredangle DGI = 2=\measuredangle IGH \\\\\\ \measuredangle DGH=2+2\implies \blacktriangleright \measuredangle DGH=4 \blacktriangleleft[/tex]